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(a) Set up and solve a system of linear equations to find the possible flows in

ID: 2902782 • Letter: #

Question

(a) Set up and solve a system of linear equations to find the possible flows in the network shown in the figure. (Use the parameters s and t as necessary.)

(f1, f2, f3, f4, f5, f6, f7) = (?,?,?,?,?,?,?)

(b) if f4 = 0 , what will the range of flow be on each of the other branches? (Enter your answers using interval notation.)   

(a) Set up and solve a system of linear equations to find the possible flows in the network shown in the figure. (Use the parameters s and t as necessary.) (f1, f2, f3, f4, f5, f6, f7) = (?,?,?,?,?,?,?) (b) if f4 = 0 , what will the range of flow be on each of the other branches? (Enter your answers using interval notation.)

Explanation / Answer

(a). at node A:- f1= f3+100 ;

at node B:- f1 + 150= f4+ f2;

at node C:- f2 + f5= 300 ;

at node D:- f3 + f6= 100 ;

at node E:- f4 +f7= f6+100 ;

at node F:- f5 + f7= 250 ;

(f1, f2, f3, f4, f5, f6, f7) =